Challenging probability question, need help. A random number, n, is added to an integer x = 160, ten times. Where n can be 1 - 10.
The probability of n ≤ 5 is 50%, and it will increase by 5% for every subsequent increase of 5 to the integer.
The probability of n > 5 is 50%, and it will decrease by 5% for every subsequent increase of 5 to the integer.

Find the probability of the integer, x ≥ 200. ​​​​​​